Pith Number

pith:JJM5SC3Z

pith:2007:JJM5SC3ZW64BNMDYMZ3PR6MLS5

not attested not anchored not stored refs pending

Effective Iitaka fibrations

De-Qi Zhang, Eckart Viehweg

arxiv:0707.4287 v3 · 2007-07-29 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJM5SC3ZW64BNMDYMZ3PR6MLS5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:12:58.974157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a59d90b79b7b816b0786676f8f98b976969bdf340d1719572d16037225e22fd

Aliases

arxiv: 0707.4287 · arxiv_version: 0707.4287v3 · doi: 10.48550/arxiv.0707.4287 · pith_short_12: JJM5SC3ZW64B · pith_short_16: JJM5SC3ZW64BNMDY · pith_short_8: JJM5SC3Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JJM5SC3ZW64BNMDYMZ3PR6MLS5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4a59d90b79b7b816b0786676f8f98b976969bdf340d1719572d16037225e22fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c9e6a4b015adad09ad95c154b8545668008008835386e3abc3839b02521fd1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-29T14:36:49Z",
    "title_canon_sha256": "bf4a1bc7441d780f5c790785d0ba2670670a95a3646acaec7f6729071bafcd49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4287",
    "kind": "arxiv",
    "version": 3
  }
}